Question

solve the following pairs of equations by reducing them to a pair of linear equations.
2/√x+3/√y=2, 4/√x-9√y=-1​

Answer 1

Step-by-step explanation:

x = 4 & y = 9 is solution of linear equations 2/√x + 3/√y =2 , 4/√x - 9/√y = -1

Step-by-step explanation:

2/√x + 3/√y =2

4/√x - 9/√y = -1

u = 1/√x v = 1/√y

=> 2u + 3v = 2 Eq1

& 4u - 9v = - 1 Eq2

3 * eq1 + Eq2

=> 6u + 9v + 4u - 9v = 6 - 1

=> 10u = 5

=> u = 1/2

=> 2(1/2) + 3v = 2

=> 3v = 1

=> v = 1/3

u = 1/√x = 1/2

=> √x = 2

Squaring both sides

=> x = 4

v = 1/√y = 1/3

=> √y = 3

Squaring both sides

=> y = 9

x = 4 & y = 9

x = 4 & y = 9 is solution of linear equations 2/√x + 3/√y =2 , 4/√x - 9/√y = -1